Question

Please help me with this math question ​

Answer 1

The ":" is actually a division, a fraction.

So part a is therefore,

$\dfrac{w}{100}=\dfrac{12}{25}$

Here we use cross multiplication,

$\dfrac{a}{b}=\dfrac{c}{d}\Longleftrightarrow ad=bc$

And we have,

$25w=12\cdot100 \\w=\dfrac{12\cdot100}{25}=\dfrac{1200}{25}=\boxed{48}$

Now part b.

First convert 2m to cm. 1m = 100cm therefore 2m is 200cm.

Now we have simplified to,

$\dfrac{180}{200}=\dfrac{1.8}{2}=\dfrac{\dfrac{18}{10}}{2}=\dfrac{\dfrac{9}{5}}{2}=\boxed{\dfrac{9}{10}=9:10}$

Hope this helps.

r3t40